On the spherical convexity of quadratic functions

Abstract

In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic functions on spherical convex sets associated to the positive orthants and Lorentz cone are given.

Keywords

Spheric convexity Quadratic functions Positive orthant Lorentz cone

O. P. Ferreira: This work was supported by CNPq (Grants 302473/2017-3 and 408151/2016-1) and FAPEG.